Literaturnachweis - Detailanzeige
Autor/in | Ng, Chiu-king |
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Titel | Understanding the Damped SHM without ODEs |
Quelle | In: Physics Education, 51 (2016) 2, Artikel 025006 (7 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0031-9120 |
DOI | 10.1088/0031-9120/51/2/025006 |
Schlagwörter | Problem Solving; Calculus; Motion; Qualitative Research; Statistical Analysis; Graphs; Kinetics; Science Experiments; Scientific Concepts; Scientific Principles; Teaching Methods; Physics |
Abstract | Instead of solving ordinary differential equations (ODEs), the damped simple harmonic motion (SHM) is surveyed qualitatively from basic mechanics and quantitatively by the instrumentality of a graph of velocity against displacement. In this way, the condition b ? [square root]4mk for the occurrence of the non-oscillating critical damping and heavy-damping is derived. Besides, we prove in the under-damping, the oscillation is isochronous and the diminishing amplitude satisfies a rule of "constant ratio". All are done on a non-ODE basis. (As Provided). |
Anmerkungen | Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://journals.iop.org |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2020/1/01 |